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Synthesis methods for multi-band coupled resonator filters

Thesis (PhD)--Stellenbosch University, 2014.

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Main Author: Brand, Tobias Gerhardus
Other Authors: Meyer, Petrie
Format: Thesis
Language:en_ZA
Published: Stellenbosch : Stellenbosch University 2015
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access_status_str Open Access
author Brand, Tobias Gerhardus
author2 Meyer, Petrie
author_browse Brand, Tobias Gerhardus
Meyer, Petrie
author_facet Meyer, Petrie
Brand, Tobias Gerhardus
author_sort Brand, Tobias Gerhardus
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (PhD)--Stellenbosch University, 2014.
format Thesis
id oai:scholar.sun.ac.za:10019.1/95910
institution Stellenbosch University (South Africa)
language en_ZA
last_indexed 2026-06-10T12:42:49.487Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2015
publishDateRange 2015
publishDateSort 2015
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
record_format dspace
source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/95910 Synthesis methods for multi-band coupled resonator filters Brand, Tobias Gerhardus Meyer, Petrie Geschke, Riana Stellenbosch University. Faculty of Engineering. Department of Electrical and Electronic Engineering. Filters, multi-band Resonator filters Multi-band circuits Frequency mapping Theses -- Electronic engineering Dissertations -- Electronic engineering UCTD Thesis (PhD)--Stellenbosch University, 2014. ENGLISH ABSTRACT: In this dissertation a number of techniques to design multi-band filters, with specific focus on coupled resonator implementations, is presented. Multi-band transfer functions are constructed from single-band transfer functions using frequency mapping methods. A general class of rational mapping functions is presented that can accommodate arbitrary bandwidth specifications. Multi-band circuits are synthesised directly from multi-band transfer functions and are obtained by applying reactance transformations to single-band prototype circuits. For the direct synthesis of multi-band filters from multi-band transfer functions coupling matrix synthesis methods are employed. The circuits that result from matrix synthesis methods tend to have topologies that are undesirable from a practical perspective and must be simplified using rotations of the coupling matrix. The synthesis of multi-band filters through reactance transformations is both simple and result in filters that have practical topologies for realisation as coupled resonator circuits. Multiple filters are designed using different design methodologies and different transmission line technologies to illustrate the various design possibilities. The designs include both all-pole and cross-coupled filters and employ single-layer stripline, multi-layer stripline as well as coaxial resonators as transmission line technologies for the implementations. AFRIKAANSE OPSOMMING: In hierdie proefskrif word verskeie ontwerpstegnieke vir multi-band filters aangebied en word daar spesifiek klem gelê op filters wat as gekoppelde resoneerder strukture geïmplimenteer kan word. Multi-band oordragsfunksies word geskep uit enkelband oordragsfunksies deur gebruik te maak van wiskundige afbeeldingstegnieke. ’n Spesiale klas van rasionale funksies word voorgestel wat spesifiek gebruik kan word om multi-band funksies te skep wat ’n arbitrêre bandwydte spesifikasie het. Multi-band stroombane word direk gesintetiseer vanuit multi-band oordragsfunksies en word ook verkry deur die toepassing van reaktansietransformasies op enkelband stroombane. Vir die direkte sintese van multi-band stroombane vanuit multi-band oordragsfunksies word stroombane gesintetiseer as koppelmatrikse. Stroombane wat op hierdie wyse gesintetiseer word is geneig om topologieë te hê wat nie baie gesog is vanuit ’n praktiese perspektief nie en matriks rotasies word dan hier ingespan om die stroombane se topologieë te vereenvoudig. Die sintese van multi-band stroombane deur gebruik te maak van reaktansietransformasies is beide eenvoudig en lei tot stroombane wat praktiese topologieë het vir implimentering as gekoppelde resoneerder strukture. Die ontwerpsmoontlikhede wat die verskillende metodieke bied word geïllustreer deur die ontwerp van verskeie filters op verskillende maniere waar daar gebruik gemaak word van verskeie transmissielyn tegnologië. Die filter ontwerpe sluit filters in waar alle transmissienulle by oneidige frekwensies is, sowel as gevalle waar somige transmissienulle by eindige frekwensies is. Die filters word geïmplimenteer deur gebruik te maak van koaksiale resoneerders sowel as enkellaag en multilaag strooklyn. Doctoral 2015-01-13T11:48:19Z 2015-01-13T11:48:19Z 2014-12 Thesis http://hdl.handle.net/10019.1/95910 en_ZA Stellenbosch University xxviii, 257 p. : ill. application/pdf Stellenbosch : Stellenbosch University
spellingShingle Filters, multi-band
Resonator filters
Multi-band circuits
Frequency mapping
Theses -- Electronic engineering
Dissertations -- Electronic engineering
UCTD
Brand, Tobias Gerhardus
Synthesis methods for multi-band coupled resonator filters
title Synthesis methods for multi-band coupled resonator filters
title_full Synthesis methods for multi-band coupled resonator filters
title_fullStr Synthesis methods for multi-band coupled resonator filters
title_full_unstemmed Synthesis methods for multi-band coupled resonator filters
title_short Synthesis methods for multi-band coupled resonator filters
title_sort synthesis methods for multi band coupled resonator filters
topic Filters, multi-band
Resonator filters
Multi-band circuits
Frequency mapping
Theses -- Electronic engineering
Dissertations -- Electronic engineering
UCTD
url http://hdl.handle.net/10019.1/95910
work_keys_str_mv AT brandtobiasgerhardus synthesismethodsformultibandcoupledresonatorfilters